Given P(A) = 0.6, P(B) = 0.5, P(A | B) = 0.3, do the following. (a) Compute P(A and B). (b) Compute P(A or B).
Using the definition of conditional probability we have
Also by addition law of probability
Given P(A) = 0.6, P(B) = 0.5, P(A | B) = 0.3, do the following. (a) Compute P(A and B). (b) Compute P(A or B).
Given P(A) = 0.6 and P(B) = 0.3 If A and B are mutually exclusive events, compute P(A or B). If P(A and B) = 0.2, compute P(A or B). If A and B are independent events, compute P(A and B). If P(B|A) = .1, compute P(A and B).
.If P(B/A)-1, P(B)-0.5, and P(A)-0.3, what is P(A'/B)? (A' is A complement) 0.15 0.6 0.85 0.4
Given P(A) = 0.6 and P(B) = 0.2, do the following. (For each answer, enter a number.) (a) If A and B are independent events, compute P(A and B). (b) If P(A | B) = 0.7, compute P(A and B).
2.40 Given that P(A)0.3, P(B) 0.5 and P(B|A)0.4, find the following a) P(AB) b) P(A|B) e) P(A'IB) d) P(AIB)
Given events A, B with P (A-0.5. P (B) 0.7, and P (A n B)-0.3, find: 4286 4286 P(BA) .6 .6 .333 6
Suppose that P(A)0.5, P(B)0.2, P(C) 0.3, P(AnB) 0.1 and P(AnC) 0.1. Compute the following: (a) (2 points) P(AUB) b) (6 points) P(A UC) (c) (4 points) Are the events A and B independent? What about A and C? (d) (8 points) If the sets B and C are mutually exclusive sets, what is P(A U B U C)?
Match p0.3, p=0.5.p=0.6 with the correct graph The following histograms each represent binomial distributions. Each distribution has the same number of trials but different probabilities of success p. P() Ps O A. (a)p03. (b)p=05.(c)p=06 OB. (a)p 06, (b)p=05.(c)p=03 OC. (a)p03. (b) 06, (c)p05 OD.) 0.5, (b)p=06, (c)p0.3 OE (p=0.5, (b)P 0.3.(p=0.6 OF. (a)p06,(b) p=0.3.(c)p0.5 'P(x) 0 02 0.1-
2-142. Suppose that P(A1 B) Determine P(BIA). : 0.6, P(A)-04, and P(B)-0.3. / 2-143. Suppose that P(AIB)=0.5,PCAI B)-0.1, and P(B) 0.7. Determine P(BIA).
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Assume P(A)=0.3, P(B)=0.5, and P(AnB)=0.2. Then P(AUB)= Select one: O a. 0.8 b. 0.6 c.0.3 d. 0.5 Data set of temperatures is a continuous data. Select one: O True O False
Suppose that P(A) = 0.2 and P(B) = 0.5 and P(A ∪ B) = 0.6. Find P(A' ∪ B' )